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Finding the Third Proportional to 64,833 and 94,914

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Solution

The third proportional to 64,833 and 94,914 is: 138,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,833 : 94,914 = 94,914 : x
  2. Step 2: Convert to fraction form
    64,833/94,914 = 94,914/x
  3. Step 3: Cross multiply
    64,833x = 94,914 × 94,914
  4. Step 4: Simplify right side
    64,833x = 9,008,667,396
  5. Step 5: Solve for x
    x = 9,008,667,396/64,833
  6. Step 6: Final answer
    x = 138,951.88

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.